Crashworthiness design optimization using successive response surface approximations |
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Authors: | H Kurtaran A Eskandarian D Marzougui N E Bedewi |
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Affiliation: | (1) FHWA/NHTSA National Crash Analysis Center, George Washington Transportation Research Institute, The George Washington University, VA Campus 20101 Academic Way, Ashburn, VA, 20147 USA e-mail: azim@seas.gwu.edu, US |
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Abstract: | Finite Element (FE) method is among the most powerful tools for crash analysis and simulation. Crashworthiness design of
structural members requires repetitive and iterative application of FE simulation. This paper presents a crashworthiness design
optimization methodology based on efficient and effective integration of optimization methods, FE simulations, and approximation
methods. Optimization methods, although effective in general in solving structural design problems, loose their power in crashworthiness
design. Objective and constraint functions in crashworthiness optimization problems are often non-smooth and highly non-linear
in terms of design variables and follow from a computationally costly (FE) simulation. In this paper, a sequential approximate
optimization method is utilized to deal with both the high computational cost and the non-smooth character. Crashworthiness
optimization problem is divided into a series of simpler sub-problems, which are generated using approximations of objective
and constraint functions. Approximations are constructed by using statistical model building technique, Response Surface Methodology
(RSM) and a Genetic algorithm. The approximate optimization method is applied to solve crashworthiness design problems. These
include a cylinder, a simplified vehicle and New Jersey concrete barrier optimization. The results demonstrate that the method
is efficient and effective in solving crashworthiness design optimization problems.
Received: 30 January 2002 / Accepted: 12 July 2002
Sponsorship for this research by the Federal Highway Administration of US Department of Transportation is gratefully acknowledged.
Dr. Nielen Stander at Livermore Software Technology Corporation is also gratefully acknowledged for providing subroutines
to create D-optimal experimental designs and the simplified vehicle model. |
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Keywords: | Response surface methodology Crashworthiness Design optimization Finite element method |
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